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Finding the Fourth Proportional to 6,913.42, 10,372.73 and 4,142.07

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Solution

The fourth proportional to 6,913.42, 10,372.73 and 4,142.07 is: 6,214.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,913.42 : 10,372.73 = 4,142.07 : x
  2. Step 2: Convert to fraction form
    6,913.42/10,372.73 = 4,142.07/x
  3. Step 3: Cross multiply
    6,913.42x = 10,372.73 × 4,142.07
  4. Step 4: Simplify right side
    6,913.42x = 42,964,553.04
  5. Step 5: Solve for x
    x = 42,964,553.04/6,913.42
  6. Step 6: Final answer
    x = 6,214.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.